An object has a weight W when it is on the surface of a planetof radius R. What

Question

An object has a weight W when it is on the surface of a planetof radius R. What will be the gravitational force on theobject after it has been moved to a distance of 4 R from the centerof the planet? a) F = (1/4)W b) F= (1/16)W c) F = W d) F= 4W e) F= 16W An object has a weight W when it is on the surface of a planetof radius R. What will be the gravitational force on theobject after it has been moved to a distance of 4 R from the centerof the planet? a) F = (1/4)W b) F= (1/16)W c) F = W d) F= 4W e) F= 16W

Explanation / Answer

Let R and R1 be the distances from the center. W1 = GMm /R1^2 W = GMm / R^2 W1 / W = [R1/R]^2 Given R1 = 4R.or R1/R = 4. W1 /W = [4]^2 = 16. W1 = 16 W Answer: e) F= 16W

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